Gauge-natural field theories and Noether theorems: canonical covariant conserved currents

Palese, Marcella; Winterroth, Ekkehart

Displaying similar documents to “Gauge-natural field theories and Noether theorems: canonical covariant conserved currents”

Symmetries in finite order variational sequences

Mauro Francaviglia, Marcella Palese, Raffaele Vitolo (2002)

Czechoslovak Mathematical Journal

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We refer to Krupka’s variational sequence, i.e. the quotient of the de Rham sequence on a finite order jet space with respect to a ‘variationally trivial’ subsequence. Among the morphisms of the variational sequence there are the Euler-Lagrange operator and the Helmholtz operator. In this note we show that the Lie derivative operator passes to the quotient in the variational sequence. Then we define the variational Lie derivative as an operator on the sheaves of the variational sequence....

Gauge complex field theory.

Munteanu, Gheorghe, Iordăchiescu, Bianca (2005)

Balkan Journal of Geometry and its Applications (BJGA)

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Noether‘s variational theorem II and the BV formalism

Fulp, Ron, Lada, Tom, Stasheff, Jim

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Generalized Jacobi morphisms in variational sequences

Francaviglia, Mauro, Palese, Marcella

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Summary: We provide a geometric interpretation of generalized Jacobi morphisms in the framework of finite order variational sequences. Jacobi morphisms arise classically as an outcome of an invariant decomposition of the second variation of a Lagrangian. Here they are characterized in the context of generalized Lagrangian symmetries in terms of variational Lie derivatives of generalized Euler-Lagrange morphisms. We introduce the variational vertical derivative and stress its link with...